Following a career as a social worker, Leibovici was elected to the Legislative Assembly of Alberta in 1993, representing Edmonton Meadowlark as a member of the Alberta Liberal Party.

[1] While on the city council, Leibovici was a board member for the Federation of Canadian Municipalities for nine years, and was acclaimed as the president in 2013.

[2] She was influential in spearheading the city's 10-year plan to end homelessness, revitalizing retail in west Edmonton, and through the Federation of Canadian Municipalities, brokered a $53 billion infrastructure plan with the federal government for funding municipal projects across the country.

Leibovici ran for mayor in Edmonton in 2013, against fellow councillors Don Iveson and Kerry Diotte.

She was most recently a Liberal Party of Canada candidate in Edmonton West for the 2015 federal election, but lost to Conservative Party candidate Kelly McCauley.